A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of C depending on whether or not the strong dual space (which is always Schwartz) is nuclear.
Titolo: | The Cesàro operator on duals of power series spaces of infinite type |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
Abstract: | A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of C depending on whether or not the strong dual space (which is always Schwartz) is nuclear. |
Handle: | http://hdl.handle.net/11587/425939 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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